{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 了解算法性能中的偏差和方差概念\n",
    "## 案例：利用水库水位变化预测大坝出水量\n",
    "### 数据集：ex5data1.mat"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from scipy.io import loadmat\n",
    "from scipy.optimize import minimize"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": "dict_keys(['__header__', '__version__', '__globals__', 'X', 'y', 'Xtest', 'ytest', 'Xval', 'yval'])"
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data = loadmat('ex5data1.mat')\n",
    "data.keys()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": "((12, 1), (12, 1))"
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 训练集\n",
    "X_train,y_train = data['X'],data['y']\n",
    "X_train.shape,y_train.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": "((21, 1), (21, 1))"
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 验证集\n",
    "X_val,y_val = data['Xval'],data['yval']\n",
    "X_val.shape,y_val.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": "((21, 1), (21, 1))"
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 测试集\n",
    "X_test,y_test = data['Xtest'],data['ytest']\n",
    "X_test.shape,y_test.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "X_train = np.insert(X_train,0,1,axis=1)\n",
    "X_val = np.insert(X_val,0,1,axis=1)\n",
    "X_test = np.insert(X_test,0,1,axis=1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "def plot_data():\n",
    "    fig,ax = plt.subplots()\n",
    "    ax.scatter(X_train[:,1],y_train)\n",
    "    ax.set(xlabel = 'change in water level(x)',\n",
    "          ylabel = 'water flowing out og the dam(y)')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": "<Figure size 640x480 with 1 Axes>",
      "image/png": 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\n"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_data()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "def reg_cost(theta,X,y,lamda):\n",
    "\n",
    "    cost = np.sum(np.power((X@theta-y.flatten()),2))\n",
    "    reg = theta[1:]@theta[1:] * lamda\n",
    "\n",
    "    return (cost+reg) /(2*len(X))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": "303.9931922202643"
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "theta = np.ones(X_train.shape[1])\n",
    "lamda =1\n",
    "reg_cost(theta,X_train,y_train,lamda)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "def reg_gradient(theta,X,y,lamda):\n",
    "\n",
    "    grad = (X@theta-y.flatten())@X\n",
    "    reg = lamda * theta\n",
    "    reg[0]=0\n",
    "\n",
    "    return (grad+reg) / (len(X))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": "array([-15.30301567, 598.25074417])"
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "reg_gradient(theta,X_train,y_train,lamda)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "def train_model(X,y,lamda):\n",
    "\n",
    "    theta = np.ones(X.shape[1])\n",
    "\n",
    "    res  = minimize(fun = reg_cost,\n",
    "                   x0 = theta,\n",
    "                   args =(X,y,lamda),\n",
    "                   method = 'TNC',\n",
    "                   jac = reg_gradient)\n",
    "\n",
    "    return res.x"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "theta_final = train_model(X_train,y_train,lamda=0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": "<Figure size 640x480 with 1 Axes>",
      "image/png": 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\n"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_data()\n",
    "plt.plot(X_train[:,1],X_train@theta_final,c='r')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 任务：训练样本从1开始递增进行训练，比较训练集和验证集上的损失函数的变化情况"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "def plot_learning_curve(X_train,y_train,X_val,y_val,lamda):\n",
    "\n",
    "    x = range(1,len(X_train)+1)\n",
    "    training_cost = []\n",
    "    cv_cost = []\n",
    "\n",
    "    for i in x:\n",
    "\n",
    "        # train_model 得到权重参数\n",
    "        res = train_model(X_train[:i,:],y_train[:i,:],lamda)\n",
    "        training_cost_i = reg_cost(res,X_train[:i,:],y_train[:i,:],lamda)\n",
    "        cv_cost_i = reg_cost(res,X_val,y_val,lamda)\n",
    "        training_cost.append(training_cost_i)\n",
    "        cv_cost.append(cv_cost_i)\n",
    "\n",
    "    plt.plot(x,training_cost,label = 'training cost')\n",
    "    plt.plot(x,cv_cost,label = 'cv cost')\n",
    "    plt.legend()\n",
    "    plt.xlabel('number of training examples')\n",
    "    plt.ylabel('error')\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": "<Figure size 640x480 with 1 Axes>",
      "image/png": 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\n"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    " plot_learning_curve(X_train,y_train,X_val,y_val,lamda=0)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 任务：构造多项式特征，进行多项式回归\n",
    "多项式拟合 提高拟合度"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [],
   "source": [
    "def poly_feature(X,power):\n",
    "    ## ！！！牛的\n",
    "    for i in range(2,power+1):\n",
    "        X = np.insert(X,X.shape[1],np.power(X[:,1],i),axis=1)\n",
    "    return X"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [],
   "source": [
    "def get_means_stds(X):\n",
    "    # 获取均值和方差\n",
    "    means = np.mean(X,axis=0)\n",
    "    stds = np.std(X,axis=0)\n",
    "    return means,stds"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [],
   "source": [
    "def feature_normalize(X,means,stds):\n",
    "\n",
    "    X[:,1:] = ( X[:,1:]  - means[1:]) / stds[1:]\n",
    "\n",
    "    return X"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [],
   "source": [
    "power = 6"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(12, 2)\n",
      "(12, 7)\n"
     ]
    }
   ],
   "source": [
    "X_train_poly = poly_feature(X_train,power)\n",
    "print(X_train.shape) # [1,x]\n",
    "print(X_train_poly.shape) # [1,x,x^2,,,x^6]\n",
    "X_val_poly = poly_feature(X_val,power)\n",
    "X_test_poly = poly_feature(X_test,power)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [],
   "source": [
    "train_means,train_stds = get_means_stds(X_train_poly)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [],
   "source": [
    "X_train_norm = feature_normalize(X_train_poly,train_means,train_stds)\n",
    "X_val_norm = feature_normalize(X_val_poly,train_means,train_stds)\n",
    "X_test_norm = feature_normalize(X_test_poly,train_means,train_stds)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [],
   "source": [
    "theta_fit = train_model(X_train_norm,y_train,lamda=0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "outputs": [],
   "source": [
    "def plot_poly_fit():\n",
    "    plot_data()\n",
    "\n",
    "    x = np.linspace(-60,60,100)\n",
    "    xx = x.reshape(100,1)\n",
    "    xx = np.insert(xx,0,1,axis=1)\n",
    "    xx = poly_feature(xx,power)\n",
    "    xx = feature_normalize(xx,train_means,train_stds)\n",
    "\n",
    "    plt.plot(x, xx@theta_fit,'r--')\n"
   ],
   "metadata": {
    "collapsed": false
   }
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": "<Figure size 640x480 with 1 Axes>",
      "image/png": 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\n"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_poly_fit()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": "<Figure size 640x480 with 1 Axes>",
      "image/png": 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\n"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_learning_curve(X_train_norm,y_train,X_val_norm,y_val,lamda=0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {
    "collapsed": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": "<Figure size 640x480 with 1 Axes>",
      "image/png": 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\n"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_learning_curve(X_train_norm,y_train,X_val_norm,y_val,lamda=1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": "<Figure size 640x480 with 1 Axes>",
      "image/png": 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\n"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_learning_curve(X_train_norm,y_train,X_val_norm,y_val,lamda=100)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [],
   "source": [
    "lamdas = [0,0.001,0.003,0.01,0.03,0.1,0.3,1,3,10]\n",
    "\n",
    "training_cost = []\n",
    "cv_cost = []\n",
    "\n",
    "for lamda in lamdas:\n",
    "    res = train_model(X_train_norm,y_train,lamda)\n",
    "    \n",
    "    tc = reg_cost(res,X_train_norm,y_train,lamda = 0)\n",
    "    cv = reg_cost(res,X_val_norm,y_val,lamda=0)\n",
    "    \n",
    "    training_cost.append(tc)\n",
    "    cv_cost.append(cv)\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": "<Figure size 640x480 with 1 Axes>",
      "image/png": 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\n"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(lamdas,training_cost,label='training cost')\n",
    "plt.plot(lamdas,cv_cost,label='cv cost')\n",
    "plt.legend()\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": "3"
     },
     "execution_count": 33,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "lamdas[np.argmin(cv_cost)]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "4.3976161577441975\n"
     ]
    }
   ],
   "source": [
    "res = train_model(X_train_norm,y_train,lamda =3)\n",
    "test_cost = reg_cost(res,X_test_norm,y_test,lamda = 0)\n",
    "print(test_cost)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.0"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
